What are the steps for solving
6x-1=-x+9

x=10/7

Let's solve your equation step-by-step

6x−1=−x+9

Step 1: Add x to both sides

6x−1+x=−x+9+x

7x−1=9

Step 2: Add 1 to both sides

7x−1+1=9+1

7x=10

Step 3: Divide both sides by 7

7x/7=10/7

x=10/7

x = 10 / 7

Step-by-step explanation:

6x - 1 = -x + 9

Add 1 to both sides of the equation.

6x - 1 = -x + 9

6x - 1 + 1 = -x + 9 + 1

Simplify

Add the numbers

6x - 1 + 1 = -x + 9 + 1

6x = -x + 9 + 1

Add the numbers

6x = -x + 9 + 1

6x = -x + 10

Add x to both sides of the equation.

6x = -x + 10

6x + x = -x + 10 + x

Simplify

Combine like terms

6x + x = -x + 10 + x

7x = -x + 10 + x

Combine like terms

7x = -x + 10 + x

7x = 10

Divide both sides of the equation by the same term

7x = 10

7x/7 = 10/7

Simplify

Cancel terms that are in both the numerator and denominator.

7x/7 = 10/7

x = 10/7

Solution

x = 10/7

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: